Distribution, Derangement & Advanced Techniques

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  1. 1.

    Number of non-negative integer solutions of x + y + z + w = 15:

  2. 2.

    Number of positive integer solutions of a + b + c = 12:

  3. 3.

    D(5) (derangements of 5 elements) equals:

  4. 4.

    How many 4-digit numbers can be formed from {0,1,2,3,4} without repetition?

  5. 5.

    The number of ways to distribute 5 distinct balls into 3 distinct boxes:

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